Question

solve the following equation and check your answers: 3-y/y+5= 5/7​

Answer 1

3 - y / y + 5 = 5 / 7

7 ( 3 - y ) = 5 ( y + 5 )

21 - 7y = 5 ( y + 5 )

21y - 7y = 5y + 25

21 - 7y - 5y = 25

21 - 12y = 25

- 12y = 25 - 21

- 12y = 4

y = 4 / - 12

y = - 1 / 3

hope helpful for you

Answer 2

Corrected Question :

• Solve the following equation and check your answers : ${\sf{3 - \dfrac{y}{y} + 5 = \dfrac{5}{7}}}$

A N S W E R :

• ${\sf{y = \dfrac{- 1}{3}}}$

S O L U T I O N :

:$\implies$${\sf{7\bigg(3 - y\bigg) = 5\bigg(y + 5\bigg)}}$

:$\implies$${\sf{21 - 7y = 5\bigg(y + 5\bigg)}}$

:$\implies$${\sf{21 - 7y = 5y + 25}}$

:$\implies$${\sf{21 - 7y - 5y = 25}}$

:$\implies$${\sf{21 - 12y = 25}}$

:$\implies$${\sf{- 12y = 25 - 21}}$

:$\implies$${\sf{- 12y = 4}}$

:$\implies$${\sf{y = \dfrac{- 12}{4}}}$

:$\implies$${\sf{y = \cancel{\dfrac{- 12}{4}}}}$

:$\implies$${\underline{\boxed{\frak{\pink{y = \dfrac{- 1}{3}}}}}}$★

$~~~~$$\qquad\quad\therefore{\underline{\textsf{\textbf{Hence, Verified!}}}}$

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